期刊
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
卷 101, 期 11, 页码 -出版社
WILEY-V C H VERLAG GMBH
DOI: 10.1002/zamm.202000366
关键词
exponential stability; finite-difference discretization; swelling porous elastic
资金
- ConselhoNacional de Desenvolvimento Cientifico eTecnologico [310729/2019-0, 314273/2020-4]
This study focuses on analyzing the asymptotic behavior of solutions to a one-dimensional initial boundary value problem associated with isothermal linear theory of swelling porous elastic media. Key results include the well-posedness of the system, exponential stabilization of solutions, and the discretization of equations using a specific numerical scheme. Numerical simulations of solution and total energy are provided to explain the findings.
In the current study, we analyze the asymptotic behavior of the solutions of one-dimensional initial boundary value problem associated with the isothermal linear theory of swelling porous elastic media. Our main results are the well-posedness of the system as well as the exponential stabilization of solution and the discretization of the equations using a particular numerical scheme, which allowed us to prove the monotonicity of the discrete energy. In addition, we provide the numerical simulations of the solution and the total energy that explain the results obtained. Our results are achieved by using the semigroup theory and for the results in finite dimensional we used finite differences.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据